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616219413070464 = 2734723536965281
BaseRepresentation
bin1000110000011100101100001…
…1001110000100001010000000
32222210212000000102001211020000
42030013023003032010022000
51121232114324221223324
610022331142412120000
7243540245336516010
oct21407130316041200
92883760012054200
10616219413070464
1116938a2049647a5
125914354a766000
13205ac31a21b438
14ac2527060dc40
154b3943399d9c9
hex23072c3384280

616219413070464 has 640 divisors, whose sum is σ = 2228226030708480. Its totient is φ = 165230260715520.

The previous prime is 616219413070463. The next prime is 616219413070493. The reversal of 616219413070464 is 464070314912616.

It is a happy number.

616219413070464 is a `hidden beast` number, since 6 + 1 + 6 + 21 + 94 + 1 + 3 + 0 + 70 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 616219413070464.

It is not an unprimeable number, because it can be changed into a prime (616219413070463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84987504 + ... + 91952784.

It is an arithmetic number, because the mean of its divisors is an integer number (3481603172982).

Almost surely, 2616219413070464 is an apocalyptic number.

616219413070464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616219413070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114113015354240).

616219413070464 is an abundant number, since it is smaller than the sum of its proper divisors (1612006617638016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616219413070464 is a wasteful number, since it uses less digits than its factorization.

616219413070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965390 (or 6965369 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 616219413070464 in words is "six hundred sixteen trillion, two hundred nineteen billion, four hundred thirteen million, seventy thousand, four hundred sixty-four".